Pith Number

pith:UZ6P5SD5

pith:2017:UZ6P5SD567INY7DB6AZBTDNXWW

not attested not anchored not stored refs pending

On Harnack inequalities for Witten Laplacian on Riemannian manifolds with super Ricci flows

Songzi Li, Xiang-Dong Li

arxiv:1706.05304 v1 · 2017-06-16 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZ6P5SD567INY7DB6AZBTDNXWW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:42:14.142498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a67cfec87df7d0dc7c61f032198db7b5bd4de6bf6f333b10340fc791046528cd

Aliases

arxiv: 1706.05304 · arxiv_version: 1706.05304v1 · doi: 10.48550/arxiv.1706.05304 · pith_short_12: UZ6P5SD567IN · pith_short_16: UZ6P5SD567INY7DB · pith_short_8: UZ6P5SD5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UZ6P5SD567INY7DB6AZBTDNXWW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a67cfec87df7d0dc7c61f032198db7b5bd4de6bf6f333b10340fc791046528cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4877624efa0737c4d4dc7878de90926e9436946da40537def8f84c9cb02b880b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-06-16T15:00:13Z",
    "title_canon_sha256": "4fdc7a05c5d66038ce7df75eb910400c5f1581a3eec19ddb0e644ac6859b2b98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05304",
    "kind": "arxiv",
    "version": 1
  }
}